in terms of g EXERCISE 4. f(z) = g(2²) EXERCISE 5. f (x) = e9(x)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find f' in terms of g'
EXERCISE 4.
f(x) = g(a)
EXERCISE 5.
(x) = e9(x)
EXERCISE 6. Let C(t) be the concentration of a drug in the bloodstream. As
the body eliminates the drug, C(t) decreases at a rate that is prpoprtional to
the amount of the drug that is present at the time. Thus C'(t) = –kC(t)
where k is a positive number called the elimination constant of the drug.
(a) If Co is the concentration at the time t = 0, find the concentration at
time t.
(b) If the body eliminates half the drug in 30 hours, how long does it take to
eliminate 90% of the drug?
EXERCISE 7. Find the absolute and the local(relative) maxima and minima
for the following function
f (x) = x³
6x² + 9x + 1 defined on [2, 4]
EXERCISE 8. Find two positive integers such that the sum of the first number
and four times the second number is 1000 and the product of the numbers is
R
H
K
M
LL
Transcribed Image Text:Find f' in terms of g' EXERCISE 4. f(x) = g(a) EXERCISE 5. (x) = e9(x) EXERCISE 6. Let C(t) be the concentration of a drug in the bloodstream. As the body eliminates the drug, C(t) decreases at a rate that is prpoprtional to the amount of the drug that is present at the time. Thus C'(t) = –kC(t) where k is a positive number called the elimination constant of the drug. (a) If Co is the concentration at the time t = 0, find the concentration at time t. (b) If the body eliminates half the drug in 30 hours, how long does it take to eliminate 90% of the drug? EXERCISE 7. Find the absolute and the local(relative) maxima and minima for the following function f (x) = x³ 6x² + 9x + 1 defined on [2, 4] EXERCISE 8. Find two positive integers such that the sum of the first number and four times the second number is 1000 and the product of the numbers is R H K M LL
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